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Finding the Fourth Proportional to 3,891.49, 5,370.30 and 2,123.12

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Solution

The fourth proportional to 3,891.49, 5,370.30 and 2,123.12 is: 2,929.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,891.49 : 5,370.30 = 2,123.12 : x
  2. Step 2: Convert to fraction form
    3,891.49/5,370.30 = 2,123.12/x
  3. Step 3: Cross multiply
    3,891.49x = 5,370.30 × 2,123.12
  4. Step 4: Simplify right side
    3,891.49x = 11,401,791.34
  5. Step 5: Solve for x
    x = 11,401,791.34/3,891.49
  6. Step 6: Final answer
    x = 2,929.93

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.